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Finding the Third Proportional to 372,933 and 816,393

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Solution

The third proportional to 372,933 and 816,393 is: 1,787,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,933 : 816,393 = 816,393 : x
  2. Step 2: Convert to fraction form
    372,933/816,393 = 816,393/x
  3. Step 3: Cross multiply
    372,933x = 816,393 × 816,393
  4. Step 4: Simplify right side
    372,933x = 666,497,530,449
  5. Step 5: Solve for x
    x = 666,497,530,449/372,933
  6. Step 6: Final answer
    x = 1,787,177.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.